Question

Find the scale factor for 8 in : 2 ft

Answer 1

$1\colon3$

Explanation

to solve this we need to get the ratio, to do this get the same unit measure in both sides of the quotient

so

$8\text{ in : 2 ft}$

since

$1\text{ ft=12 in}$

replace,

$\begin{gathered} 8\text{ in : 2 ft} \\ 8\text{ in : 2}(12\text{ in)} \\ 8\text{ in: 24 in} \\ \text{divide both sides by 8} \\ \frac{8\text{ in}}{8}=\frac{24\text{ in}}{8} \\ 1\text{ in:3 in} \end{gathered}$

it means the scales factor is

$1\colon3$